Practical

Paper Code: 
DMAT 602A
Credits: 
2
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to -

  1. Familiarize with software MATHEMATICA, for numerical computation of the fundamental arithmetic operations using Mathematica.
  2. Develop the concept of complex numbers, conjugacy, continuity, and differentiability with the help of software. 
  3. An introduction of analytic function, complex integration, singularity and residues.

Course Outcomes (COs):

 Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

Course Code

Course Title

 

DMAT602A

 

 

 

 

 

Practical

(Practical)

 

 

 

 

 

 

The students will be able to –

 

CO61: perform  both  simple  and complicated mathematical calculations which requires no previous knowledge of or training in computer programming

CO62: Describe fundamental properties of the complex system that lead the development of complex analysis.

CO63: learn basic problems of complex analysis by using Mathematica.

CO64: Demonstrate accurate and efficient use of complex analysis techniques.

 

Approach in teaching:

 

Interactive Lectures, Discussion via software

Learning activities for the students:

Self learning assignments, Effective questions,

Giving tasks

 

Quiz,  Individual and group projects,  

Semester End Examination  via software’s

 

 

 

 

CONTENTS
 
Students are required to familiarize themselves with software MATHEMATICA, for numerical computation on the following topics:
 
  1. Find Real and Imaginary parts of complex numbers.
  2. Calculate Absolute value and argument, conjugates of complex numbers.
  3. Check analyticity of Real functions.
  4. Check analyticity of Complex functions, multivariate functions.
  5. Check whether a function has singularity or not?
  6. Check whether a function is meromorphic or not?
  7. Find poles of given functions.
  8. Calculate residues and Find sum of residues of given functions.
  9. Calculate real definite integral by contour integration.
Academic Year: